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Finding the Third Proportional to 63,025 and 132,934

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Solution

The third proportional to 63,025 and 132,934 is: 280,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,025 : 132,934 = 132,934 : x
  2. Step 2: Convert to fraction form
    63,025/132,934 = 132,934/x
  3. Step 3: Cross multiply
    63,025x = 132,934 × 132,934
  4. Step 4: Simplify right side
    63,025x = 17,671,448,356
  5. Step 5: Solve for x
    x = 17,671,448,356/63,025
  6. Step 6: Final answer
    x = 280,387.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.